Factoring Polynomials Using the Greatest Common Factor

What is the first step in factoring polynomials?

• Identify the highest degree term

• Find the greatest common factor

• Multiply the constants

• Distribute the polynomial

What does GCF stand for?

• General Common Function

• Greatest Constant Factor

• Greatest Common Factor

• General Coefficient Formula

How do you find the GCF of 13, 26, and 52?

• 6

• 52

• 26

• 13

In the context of polynomials, what does factoring out the GCF involve?

• Adding the greatest common factors

• Dividing by the greatest common factor

• Multiplying the greatest common factors

• Using the distributive property to factor out the GCF

What is the GCF of 8, 36, and 20?

• 8

• 2

• 4

• 10

What is the GCF of the polynomial terms that include a binomial factor of 2z - 5?

• 3z + 1

• 2z - 5

• z - 5

• 2z + 5

What is the GCF of 6, 24, and 12?

• 2

• 6

• 4

• 12

When factoring polynomials, why might you factor out a negative sign?

• To simplify the polynomial

• To ensure the leading coefficient is positive

• To make the polynomial divisible by -1

• To reduce the degree of the polynomial

What is emphasized as crucial for mastering the technique of factoring out the GCF?

• Speed

• Practice

• Using a calculator

• Memorization

What is the next topic after mastering GCF in polynomials?

• Quadratic equations

• Factoring by grouping

• Derivatives

• Integrals